Te Kete Ipurangi Navigation:

Te Kete Ipurangi

Te Kete Ipurangi user options:

The Lawn

Achievement Objectives:

Achievement Objective: GM4-3: Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
AO elaboration and other teaching resources


The purpose of this activity is to engage students in finding unknown quantities that fit within the given constraints.

Description of mathematics: 

This activity ideally follows exploration and learning in the following areas.

Click to show example questions for each heading

To solve this problem, the students may explore with numbers, or use algebraic representations. The approach should be chosen in sympathy with their skills and preferred method of solution.


A rectangular lawn space has long sides twice the length of the short sides.

Its area, in m², is the same number as the perimeter in m.

What are the possible dimensions of the field?

The procedural approach  (show more)

  • The student is able to solve the problem, with guidance.

The conceptual approach  (show more)

  • The student is able to solve the problem, within the context given.
TheLawn_full.pdf558.39 KB
TheLawn_conceptual.pdf315.48 KB
TheLawn_procedural.pdf315.1 KB